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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 3, Pages 417–427
DOI: https://doi.org/10.4213/tmf1053 (Mi tmf1053) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy

N. V. Antonov, A. V. Runov

Saint-Petersburg State University
Full-text PDF (223 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf1053
Abstract: Statistical model of the fully developed turbulence in the two-dimensional space is considered by means of the renormalization group method in the weak anisotropy approximation. It is shown that the corresponding fixed point of the renormalization group equations is not infrared stable, hence the weak anisotropy approximation is not valid for the description of the two-dimensional turbulence.
Received: 24.12.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 3, Pages 1131–1139
DOI: https://doi.org/10.1007/BF02583045
Bibliographic databases:
Language: Russian
Citation: N. V. Antonov, A. V. Runov, “Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy”, TMF, 112:3 (1997), 417–427; Theoret. and Math. Phys., 112:3 (1997), 1131–1139
Citation in format AMSBIB
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\issue 3
\pages 417--427
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 3
\pages 1131--1139
\crossref{https://doi.org/10.1007/BF02583045}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:41
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